What is the solution set for the given system of equations

label Algebra
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y=x^2+6x+1     and y=-2x-14

May 30th, 2015

Explanation

STEP1: Find coefficients a , b and c.

In this example a=1,b=4,c=15

STEP2: Plug in the values for a, b, and c into the quadratic formula

x1,2=−b±b2−4ac−−−−−−−2a

x1,2=−4±42−4⋅1⋅15−−−−−−−−−−2⋅1

STEP3: Simplify expression under the square root.

x1,2=−4±−44−−−−2

STEP4: Solve for x

x1=−4+−44−−−−2=−2+i11−−

x2=−4−−44−−−−2=−2−i11−−


May 30th, 2015

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